Question

Find the average value of y equals the square root of the quantity 64 minus x squared, on its domain.

Answer 1

Answer:

  2π ≈ 6.283

Step-by-step explanation:

The average value of the function is the area under it, divided by the base. This function describes a semicircle of radius 8, so its area is ...

  A = 1/2πr² = 1/2π·8² = 32π

The width of the base is the diameter of the semicircle, so is 16. Then the average value is ...

  32π/16 = 2π . . . . . average value of y